Tangent Line and Fundamental Theorem of Calculus
Let the function F be defined by F(x) = ∫₁ˣ cos(πt) dt. What is the equation of the line tangent to the graph of F at x = 3/2?
A
y = -1(x - 3/2) + F(3/2)
B
y = 0(x - 3/2) + F(3/2)
C
y = cos(3π/2)(x - 3/2) + F(3/2)
D
y = π·sin(3π/2)(x - 3/2) + F(3/2)
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